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First we will convert the units of different kinds given in the question (which are in cm and square cm units).

We know that, 1 km = 1000 m

And, 1 hectare= 10000 square m

Since, 1000 metres will be represented by 120 cm on the Map.

Therefore, it means if we consider the area of a portion, then corresponding conversion will be needed as follows: $1000m \times 1000m$ area will be represented by $120cm \times 120cm$( we consider shape as square).

Means 1000000 square meter will be represented by 14400 square cm on the map.

$\therefore $1 square meter will be represented on the map by,

$\dfrac{{14400}}{{1000000}}$square cm

$\therefore $10000 square meter will be represented on the map by,

$

\dfrac{{14400}}{{1000000}} \times 10000 \\

= 144 \\

$(we have to multiply by 10000)

Thus for 1 hectare ground, 144 square cm map area will be used for representation.